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Geometry and Trigonometry
Difficulty: Medium
A circle has a circumference of centimeters. What is the diameter, in centimeters, of the circle?
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Explanation
The correct answer is . The circumference of a circle is equal to centimeters, where represents the radius, in centimeters, of the circle, and the diameter of the circle is equal to centimeters. It's given that a circle has a circumference of centimeters. Therefore, . Dividing both sides of this equation by yields . Since the diameter of the circle is equal to centimeters, it follows that the diameter, in centimeters, of the circle is .